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math.CO2021
On the general no-three-in-line problem
Theophilus Agama
In this paper, we show that the number of points that can be placed in the grid for all with so that no…
math.CO2021
On the Gap sequence and the Gilbreath conjecture
Theophilus Agama
Motivated by the Gilbreath conjecture, we develop the notion of the gap sequence induced by any sequence of numbers. We introduce the notion of the path and associated circuits ind…
math.CO2019
Distribution of boundary points of expansion and application to the lonely runner conjecture
Theophilus Agama
In this paper, we study the distribution of the boundary points of expansion. As an application, we say something about the lonely runner problem. We show that given runners $\…